It is known that the amount of time it takes to commute from the north end of a particular city to the south varies with mean $64$ minutes and standard deviation $17$ minutes. The distribution of commute times is also right skewed. A random sample of $35$ commute times is selected.

$($a$)$

Find the mean $($in minutes$)$ of the sampling distribution of the mean commute time for a sample of $35$ commutes.

$$x $=$ min

$($b$)$

Find the standard deviation $($in minutes$)$ of the sampling distribution from part $($a$).($Round your answer to three decimal places.$)$

$$x $=$ min

$($c$)$

Describe the shape of the sampling distribution of the mean commute time for a sample of $35$ commutes.

approximately normal

uniform

left skewed

right skewed